What is the relationship between the u-coordinate and the x-coordinate, if v is constrained to be 0?

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An x-y coordinate system is shown below. A second system, u-v, is also shown. What is the relationship between the u-coordinate and the x-coordinate, if v is constrained to be 0?

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I tried projecting $x$ onto $u$ but am stuck at $u=cos(55) * x - c$ for the last hour.